Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-117-117.101-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.101 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0535$ |
$0$ |
$1.57591$ |
Character $\chi_{117}(101, \cdot)$ |
1-117-117.106-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.106 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0514$ |
$0$ |
$1.49522$ |
Character $\chi_{117}(106, \cdot)$ |
1-117-117.112-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.112 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0190$ |
$0$ |
$1.31867$ |
Character $\chi_{117}(112, \cdot)$ |
1-117-117.113-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.113 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.348$ |
$0$ |
$0.231548$ |
Character $\chi_{117}(113, \cdot)$ |
1-117-117.115-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.115 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.145$ |
$0$ |
$0.919373$ |
Character $\chi_{117}(115, \cdot)$ |
1-117-117.23-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.23 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.109$ |
$0$ |
$1.14967$ |
Character $\chi_{117}(23, \cdot)$ |
1-117-117.29-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.29 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.348$ |
$0$ |
$1.57902$ |
Character $\chi_{117}(29, \cdot)$ |
1-117-117.31-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.31 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.425$ |
$0$ |
$2.83687$ |
Character $\chi_{117}(31, \cdot)$ |
1-117-117.34-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.34 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.425$ |
$0$ |
$0.156895$ |
Character $\chi_{117}(34, \cdot)$ |
1-117-117.38-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.38 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.472$ |
$0$ |
$0.0230591$ |
Character $\chi_{117}(38, \cdot)$ |
1-117-117.56-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.56 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.109$ |
$0$ |
$0.265875$ |
Character $\chi_{117}(56, \cdot)$ |
1-117-117.58-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.58 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.145$ |
$0$ |
$0.985189$ |
Character $\chi_{117}(58, \cdot)$ |
1-117-117.67-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.67 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.392$ |
$0$ |
$1.94325$ |
Character $\chi_{117}(67, \cdot)$ |
1-117-117.68-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.68 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.403$ |
$0$ |
$2.09168$ |
Character $\chi_{117}(68, \cdot)$ |
1-117-117.7-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.7 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.392$ |
$0$ |
$0.0978962$ |
Character $\chi_{117}(7, \cdot)$ |
1-117-117.70-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.70 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0190$ |
$0$ |
$1.03027$ |
Character $\chi_{117}(70, \cdot)$ |
1-117-117.74-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.74 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.403$ |
$0$ |
$0.896283$ |
Character $\chi_{117}(74, \cdot)$ |
1-117-117.76-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.76 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.299$ |
$0$ |
$1.03487$ |
Character $\chi_{117}(76, \cdot)$ |
1-117-117.77-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.77 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.472$ |
$0$ |
$1.53958$ |
Character $\chi_{117}(77, \cdot)$ |
1-117-117.85-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.85 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0514$ |
$0$ |
$0.600778$ |
Character $\chi_{117}(85, \cdot)$ |
1-117-117.95-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.95 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0535$ |
$0$ |
$1.34090$ |
Character $\chi_{117}(95, \cdot)$ |
1-117-117.97-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.97 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.299$ |
$0$ |
$2.25956$ |
Character $\chi_{117}(97, \cdot)$ |